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Finding the Fourth Proportional to 82,833.95, 124,064.00 and 38,367.29

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Solution

The fourth proportional to 82,833.95, 124,064.00 and 38,367.29 is: 57,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,833.95 : 124,064.00 = 38,367.29 : x
  2. Step 2: Convert to fraction form
    82,833.95/124,064.00 = 38,367.29/x
  3. Step 3: Cross multiply
    82,833.95x = 124,064.00 × 38,367.29
  4. Step 4: Simplify right side
    82,833.95x = 4,759,999,728.76
  5. Step 5: Solve for x
    x = 4,759,999,728.76/82,833.95
  6. Step 6: Final answer
    x = 57,464.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.